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Storage Facilities

Storage Facilities. CJ Developments. Jin Ho Lee Jeong Eun Park Cara Leong Dang Wan Kim Caroline Poot. Our Process. Research Consolidation Answers. How many people in a family?. 2.61 children born/woman (CIA World Factbook) R ound 2.61 children to 3 children A dd 2 parents

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Storage Facilities

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  1. Storage Facilities CJ Developments Jin Ho Lee JeongEun ParkCara Leong Dang Wan Kim Caroline Poot

  2. Our Process • Research • Consolidation • Answers

  3. How many people in a family? • 2.61 children born/woman (CIA World Factbook) • Round 2.61 children to 3 children • Add 2 parents • Equals 5 people in a family! • However, our group mostly has 4 people in each family, so: • 4 ± 1 people in a family!

  4. Water

  5. Starting Questions • How much water does each person use? • What do we use water for? • What is the best shape to store water in?

  6. Answering Questions • What do we use water for? • Drinking • Bathing • Washing (dishes, laundry) • Toilets • Cooking

  7. Answering Questions • How much water does an average person use? • Internet research • 69.3 gallons per person for indoor purposes () • laundry, shower, toilets, cooking, drinking • Convert into litres • 1 gallon = 3.78541178 litres 69.3 gallons ≈263 litres • Leeway: 263 ± 2 litres

  8. Answering Questions • What is the best shape to store water in? • Perimeter and Circumference vs. Area (of 2-D objects) • Circle vs. Square • Real life examples • A cylinder is the best shape to store water in

  9. How to calculate Surface Area • Surface area of a cylinder is calculated by: • Closed  (2πrh) + (2πr2) • = 2πr(r+h) • Open  2πrh + πr2 • When r = radius of the cylinder’s base circle • h = the height of the cylinder r h

  10. How to calculate volume • The volume of a cylinder that has a radius of r: • π × r2 × h • Since a cylinder is a prism, the volume = base area × height r h

  11. Calculation • Total amount of water needed for entire village: • 263 ± 2 L × 4 ± 1 people × 50 families × 14 days = 736 400 ± 26% L = 736 400 ± 200 000 L • Volume of storage tank: 736 400 ± 200 000 L of water = 736.4 ± 200 m3 • This way, both the different sizes of family and different consumption of water are accounted for • Maximum  756.4m3 (around 757m3) • Minimum716.4m3 (around 717m3)

  12. Best Choice (Max. Volume)

  13. Radius vs. Height vs. Total Cost

  14. Best Choice (Min. Volume)

  15. Radius vs. Height vs. Total Cost

  16. Justification • Viability vs. Cost • Is it really that good to have a 26± 1m structure? • Is it possible to have a 26 ±1m structure that will hold its weight? • Amount of water used: • Leeway for water use of people in case they need more water • Level of Accuracy (nearest whole number): • Easier to see the difference between figures

  17. Justification • For the cheapest cost, the height of the cylinder will be at least 25m, which is too high • Water pressure • For stability, if the radius is 1m larger, the height goes down by almost 10m • Stability, pressure distribution

  18. Our Storage Tank • Has a capacity of 7437 000 ± 200 000L • Is in the shape of a cylinder • Dimensions: • Radius: 4 metres • Height: 14.5 ± 0.5 metres • Cost: $14700 ± 150

  19. How did we get our numbers? • Base area: π × r2 • Height: Volume needed (m3) ÷ base area • Total surface area: 2πr(r+h) • Cost of metal: $ (14 × total surface area) • Volume of concrete: (radius + 0.5m)2 × 0.2m • Cost of concrete: $ (640 × volume of concrete) • Total cost: $ (Cost of metal + cost of concrete)

  20. Grain

  21. Starting Questions • What kind of grain are we storing? • How much grain are we putting in storage? • What kind of shape is the best for storing the grain?

  22. Answering Questions • What kind of grain are we storing? • Grain can be used to make many types of food • Rice, corn, oats, rye • Bread • for our purposes, we’ll pretend that we’re storing rice

  23. Answering Questions • How much grain are we putting in storage? • The space that the cooked rice takes up is 3-4 times the space that uncooked rice takes up • Each person eats about 300cm3 of cooked rice per meal • 300cm3 of cooked rice ≈ 100cm2 of uncooked rice

  24. Answering Questions • What kind of shape is best for storing the grain? • Real life examples • Cylinder has the largest area for a fixed perimeter • Cylinders are also used for silos

  25. Examples of Grain Storage http://www.mawaterquality.org/gallery/photos/hog%20grain%20storage.jpg http://www.dengie-crops.com/media/silos%20and%20lorry.JPG

  26. Calculation • 100cm3 uncooked rice × 3 meals × 4 people × 50 families × 14 days = 840 000 cm3 of uncooked rice • 840 000cm3 = 0.84m3 • Shed has to have a volume of 0.84m3 • round to 1m3

  27. Best Choice for Grain Storage

  28. Justification • With radius of 0.2 the height have to be 8 to hold 0.84m3.

  29. Justification • Having a same cost stability will be better. • So having lower height with longer radius is safer to hold the weight. • It has plenty of space to put in a lot of grain

  30. Our Grain Silo • Is cylindrical • Has a capacity of 1m3 • Dimensions: • Cost: • Of metal sheet: $100 ± 10 ($97.30) • Of concrete: $150 ± 10 ($144.80) • Total cost: $250 ± 20 ($242.10)

  31. Work cited • Where we got the amount of food and water per person :http://www.newsobserver.com/weather/drought/story/1016009.html. 1 Dec. 2008 <http://www.newsobserver.com/weather/drought/story/1016009.html>. :https://www.cia.gov/library/publications/the-world-factbook/. 1 Dec. 2008 <https://www.cia.gov/ library/publications/the-world-factbook/>. • Where we got the image of grain storage : http://www.dengie-crops.com/media/silos%20and%20lorry.JPG. 1 Dec. 2008 <http://www.dengie-crops.com/media/silos%20and%20lorry.JPG>. : http://www.mawaterquality.org/gallery/photos/hog%20grain%20storage.jpg. 1 Dec. 2008 <http://www.mawaterquality.org/gallery/photos/hog%20grain%20storage.jpg>.

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